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Finding the Fourth Proportional to 495,958.62, 684,548.43 and 305,142.87

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Solution

The fourth proportional to 495,958.62, 684,548.43 and 305,142.87 is: 421,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,958.62 : 684,548.43 = 305,142.87 : x
  2. Step 2: Convert to fraction form
    495,958.62/684,548.43 = 305,142.87/x
  3. Step 3: Cross multiply
    495,958.62x = 684,548.43 × 305,142.87
  4. Step 4: Simplify right side
    495,958.62x = 208,885,072,584.19
  5. Step 5: Solve for x
    x = 208,885,072,584.19/495,958.62
  6. Step 6: Final answer
    x = 421,174.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.